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1997 Fiscal Year Final Research Report Summary

Development research on conjectures / proof in math by cabri

Research Project

Project/Area Number 07045003
Research Category

Grant-in-Aid for international Scientific Research

Allocation TypeSingle-year Grants
SectionUniversity-to-University Cooperative Research
Research Field Science education
Research InstitutionUniversity of Tsukuba

Principal Investigator

NOHDA Nobuhiko  Univ.of Tsukuba, Ins.of Education, Prof., 教育学系, 教授 (80020121)

Co-Investigator(Kenkyū-buntansha) LABORDE C.  Univ.of Grenoble, LSD,Professor, LSD, 教授
LABORDE J.  Univ.of Grenoble, LSD,Professor, LSD, 教授
BALACHEFF N.  Univ.of Grenoble, INP,Professor, INP, 教授
ISODA Masami  Univ.of Tsukuba, Ins.of Education, Assi.Prof., 教育学系, 講師 (70212967)
SHIMIZU Shizumi  Univ.of Tsukuba, Ins.of Education, Asso.Prof., 教育学系, 助教授 (20115661)
Project Period (FY) 1995 – 1997
KeywordsCabri-Geometry / Curriculum Study / Computer
Research Abstract

Through collaborative research the results of "how to use software in school geometry in both countries? and what kinds of effects are found in using software? " were reported at the International conference of Mathematics Education held in Spain and Psychology of Mathematics Education held in Finland. Then the difference between France and Japan on the cognitive aspects when students solved the proof problems was found. The following results of research was found in Japan. On the process of problem solving in geometry, students find the characteristics of figures and theory of geometry by themselves after exploring activities with computer software "Cabri-Geometry". And then they tried to find the reason why these characteristics and theorems come from. This approach for proof is very interested by students.
As the results of these research a Japanese text book for using Cabri-Geometry in Junior high school edited by Professor Nohda and Nakayama was published in 1996. And samples of materials of geometry course to use this software in class were produced in floppy disk by Shimizu and Kakihana and distributed to school teachers. This book and these materials are very helpful for school teachers and this research must contribute the progress of education in science, technology and informationalized society.

  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] 能田 伸彦: "From Mcasurement to confecturi and proof in Geometry Proslcms-students use of Meisurements in the Computer Enviroment-" Proceedings of the 20th International Conference of PME. 20.3. 161-168 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 能田 伸彦: "学校数学におけるカリキュラム研究の視点" 中学校・高等学校数学科教育課程開発に関する研究. 4. 3-12 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 清水 静海: "いま、そしてこれからの算数・数学教育" 中学校・高等学校数学科教育課程開発に関する研究. 4. 13-27 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 磯田 正美: "テクノロジー利用による代数・幾何・解析の改革へのパースペクティフ〜関数・微積For All プロジェクト〜" 中学校・高等学校数学科教育課程開発に関する研究. 4. 49-103 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.HARADA: "The Effects of Using Cabri-Gcometry in Geomctrical Proof-Problem Solving:France-Japan Collaborative Research" The Journal of Science Education in Japan. 21・3. 172-182 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masami Isoda: "Connceming Mathematics with Machine Engineering and Art:Perspections for Calculus and Geomctru for All via Technology" Con-puter Technology in Mathematical Reserch and Teaching. 2. 60-70 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 能田 伸彦: "自ら学ぶ図形の世界;先生・生徒・コンピュータが作る新しい授業" 筑波出版会, 167 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 清水 静海: "学ぶ意欲を育てる算数授業の創造" 明治図書, 94 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Nobuhiko Nohda: "From Measurement to Confecture and proof in Geometry Problems - Students' Use of Measurements in the computer Environment-" Proceedings of the 20th International Conference of PME. Vol.20-3. 161-168 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nobuhiko Nohda: "A Point of View in the Study of Curriculum Research in School Mathematics" School Mathematics Research Curricilum in Secondary. Vol.4. 3-12 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Shizumi Shimizu: "Mathematics Education in now and future" School Mathematics Research Curricilum in Secondary. Vol.4. 13-27 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masami Isoda: "Perspective Research on Alg.Geo.and Ana.by used Computer - For all Mathematics Projects-" School Mathematics Research Curricilum in Secondary. Vol.4. 49-103 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Harada: "The Effects of Using Cabri-Geometry in Geometrical Proof-Problem Solving : France-Japan Collaborative Research" The Journal of Science Education in Japan. Vol.21-3. 172-182 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masami Isoda: "Connecting Mathematics with Machine Engineering and art : -Perspective for Cal culus and Geometry for all via Technology" Computer Technology in Mathematical Research and Teaching. Vol.2. 60-70 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nobuhiko Nohda: Seometrical World : New Lesson by Teacher, Students and Computer. Tsukuba Publish Company, 167 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Shizumi Shimizu: Creative Minds in school Arithmetic. Maiji Tosho Company, 94 (1996)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-03-16  

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